LPV model development for a flexible wing aircraft

One of the earliest approaches in gain-scheduling control is the gridding based approach, in which a set of local linear time-invariant models are obtained at various gridded points corresponding to the varying parameters within the flight envelop. In order to ensure smooth and effective linear parameter-varying control, aligning all the flexible modes within each local model and maintaining small number of representative local models over the gridded parameter space are crucial. In this paper, the notion of σ-shifted H2-norm are introduced and used as a metric to measure the model mismatch. A new modal alignment algorithm is developed which utilizes the defined metric for aligning all the local models over the entire gridded parameter space. Furthermore, an adaptive grid step size determination algorithm is developed to minimize the number of local models required to represent the gridded parameter space. The NASA Generic Transport Model (GTM) operating at various flight speeds is used as an example for verification purpose. The analysis and simulation results demonstrate the effectiveness of the proposed approach.